Coexistence in the design of a series of two chemostats

Alain Rapaport 1 Jérôme Harmand 2 Frédéric Mazenc 1
1 MERE - Water Resource Modeling
CRISAM - Inria Sophia Antipolis - Méditerranée , INRA - Institut National de la Recherche Agronomique : UMR0729
Abstract : We revisit the design problem of series of two chemostats, when more than one species are present for a single resource. We give precise conditions under which coexistence of two species is possible for such configurations. Furthermore, we show that for a broad class of growth functions, the optimal design cannot sustain coexistence of more than one species (either a new species is rejected or it invades the whole system)
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Submitted on : Wednesday, September 4, 2013 - 10:02:46 AM
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Alain Rapaport, Jérôme Harmand, Frédéric Mazenc. Coexistence in the design of a series of two chemostats. Nonlinear Analysis: Real World Applications, Elsevier, 2008, 9 (3), pp.1052-1067. ⟨10.1016/j.nonrwa.2007.02.003⟩. ⟨hal-00857811⟩

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